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Question

As shown in figure, two blocks A and B of mass 1 kg each are connected by an ideal string that passes over a smooth pulley that is fixed on a smooth fixed wedge as shown. If the ratio of normal reaction on block A and on block B is 43 then

A
cosθ=45
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B
sinθ=45
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C
acceleration of blocks is g10
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D
acceleration of blocks is g5
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Solution

The correct option is C acceleration of blocks is g10
Normal force acting on the block A is given by NA=mg cosθ
Normal force acting on the block B is given by NB=mgcos53
as given NANB=43cosθcos53=43
cosθ=43×35cosθ=45
Now, a=mg[sin53sinθ]2m=g10

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